Quasi-Monte Carlo Methods in Computer Graphics, Part II: The Radiance Equation

نویسندگان

  • Stefan Heinrich
  • Alexander Keller
چکیده

The radiance equation, which describes the global illumination problem in computer graphics, is a high dimensional integral equation. Estimates of the solution are usually computed on the basis of Monte Carlo methods. In this paper we propose and investigate quasi-Monte Carlo methods, which means that we replace (pseudo-) random samples by low discrepancy sequences, yielding deterministic algorithms. We carry out a comparative numerical study between Monte Carlo and quasi-Monte Carlo methods. Our results show that quasi-Monte Carlo converges considerably faster.

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تاریخ انتشار 1994